Probabilistic Norm of Linear Operators on PN Space

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(3): 285-290

Xiao Jianzhong, Jiang Xingguo. Probabilistic Norm of Linear Operators on PN Space[J]. Applied Mathematics and Mechanics, 1997, 18(3): 285-290.

Citation:

Xiao Jianzhong, Jiang Xingguo. Probabilistic Norm of Linear Operators on PN Space[J]. Applied Mathematics and Mechanics, 1997, 18(3): 285-290.

Citation:

Xiao Jianzhong, Jiang Xingguo. Probabilistic Norm of Linear Operators on PN Space[J]. Applied Mathematics and Mechanics, 1997, 18(3): 285-290.

1.
Jiangsu Yancheng Educational Institute, Yancheng, Jiangsu 224002, P. R. China;
2.
Agricultural College of Yangzhou University, Yangzhou 225009, P. R. China

[1]	V. Radu. On a random norm and continuity of linear operators on random normedspaces, C. R. Acad. Sci. Paris, 280 (1975),80~89.
[2]	张石生,概率度量空间的基本理论及应用(I),应用数学和力学,9(2) (1988), 117-126,
[3]	张石生,概率度量空间的基本理论及应用(Ⅱ),应用数学和力学,9(3) (1988), 193-204,
[4]	肖建中,M-PN空间上线性算子的概率范数及有界性刻划,数学研究与评论,13(4) (1993),631-632.
[5]	林熙,概率赋范空间上的线性算子,工程数学学报,4(2) (1987), 43-48.
[6]	苏永福,PN空间上的一类线性泛函的Hahn-Banach定理及应用,内蒙古师大学报(自然).2(1990), 16-17,
[7]	王元夔等、米献炜,Menger-PN空间λ₀-有界线性算子的概率范数,河北师大学报(自然),4(1991),1-2,
[8]	龚怀云,概率赋范空间上的线性算子,数学研究与评论,10(2) (1990), 239-242.